Stress concentrations in the particulate composite with transversely isotropic phases

International Journal of Solids and Structures

Volumn 40, Issue 23, 2003, Pages 6369-6388

  Kushch, V I ^a  

^a BAKUL INSTITUTE FOR SUPERHARD MATERIALS   (Ukraine)

Author keywords

Composite materials; Linear elasticity; Multipole expansion; Spherical inclusions; Stress concentrations; Transversely isotropic materials

Indexed keywords

ANISOTROPY; BOUNDARY VALUE PROBLEMS; ELASTICITY; STRESS CONCENTRATION;

ANISOTROPIC SPHERICAL INCLUSIONS;

COMPOSITE MATERIALS;

COMPOSITE; STRESS;

EID: 0141795410     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00399-8     Document Type: Article

References (23)

1. Bateman G. Erdelyi A. Higher Transcendental Functions vol. 2 1953 McGraw-Hill New York
2. Chen H.S. Acrivos A. The solution of the equations of linear elasticity for an infinite region containing two spherical inclusions International Journal of Solids and Structures 14 1978 331-348
3. Fabrikant V.I. Applications of Potential Theory in Mechanics 1989 Kluwer Academic The Netherlands
4. Hobson E.W. The Theory of the Spherical and Ellipsoidal Functions 1931 Cambridge University Press
5. Hori M. Nemat-Nasser S. Double-inclusion model and overall moduli of multiphase composites Mechanics of Materials 14 1993 189-206
6. Iwakuma T. Nemat-Nasser S. Composites with periodic microstructure Computers and Structures 16 1983 13-19
7. Kushch V.I. Elastic equilibrium of a medium containing periodic spherical inclusions Soviet Applied Mechanics 21 1985 435-442
8. Kushch V.I. Elastic equilibrium of a medium containing finite number of aligned spheroidal inclusions International Journal of Solids and Structures 33 1996 1175-1189
9. Kushch V.I. Conductivity of a periodic particle composite with transversely isotropic phases Proceedings of the Royal Society of London A 453 1997 65-76
10. Kushch V.I. Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions International Journal of Solids and Structures 34 1997 1353-1366
11. Kushch V.I. Sangani A. Conductivity of a composite containing uniformly oriented penny-shaped cracks or perfectly conducting inclusions Proceedings of the Royal Society of London A 456 2000 683-699
12. Kushch, V.I., Sevostianov, I., 2003. Effective elastic properties of the particulate composite with transversely isotropic phases. International Journal of Solids and Structures, submitted for publication
13. Moskovidis Z.A. Mura T. Two ellipsoidal inhomogenities by the equivalent inclusion method Journal of Applied Mechanics 42 1975 847-852
14. Mura T. Micromechanics of Defects in Solids 1982 Martinus Nijhoff The Hague, Netherlands
15. Nunan C.K. Keller J.B. Effective elasticity tensor of a periodic composite Journal of the Mechanics and Physics of Solids 32 1984 259-280
16. Pan Y.-C. Chou T.W. Point force solution for an infinite transversely isotropic solid Journal of Applied Mechanics 43 1976 608-612
17. Podil'chuk Yu.N. The Boundary Value Problems of Statics of Elastic Body 1984 Naukova Dumka Kiev
18. Podil'chuk Yu.N. Exact analytical solutions of three-dimensional static thermoelastic problems for a transversely isotropic body in curvilinear coordinate systems International Applied Mechanics 37 6 2001 728-761
19. Rodin G.J. Hwang Y.-L. On the problem of linear elasticity for an infinite region containing a finite number of non-intersecting spherical inhomogeneities International Journal of Solids and Structures 27 1991 145-159
20. Sangani A.S. Lu W. Elastic coefficients of composites containing spherical inclusions in a periodic array Journal of the Mechanics and Physics of Solids 35 1987 1-21
21. Smith R.N.L. Stresses from arbitrary loads on a penny-shaped crack International Journal for Numerical Methods in Engineering 20 1984 2093-2105
22. Willis J.R. The interactions of gas bubbles in an anisotropic elastic solid Journal of the Mechanics and Physics of Solids 23 1975 129-138
23. Withers P.J. The determination of the elastic field of an ellipsoidal inclusion in a transversely isotropic medium, and its relevance to composite materials Philosophical Magazine 59 1989 759-781